Bit error rate performance and power spectral density of a noncoherent hybrid frequency-phase modulation system

This paper studies the design and performance analysis of a noncoherent hybrid modulation scheme derived from multifrequency and multiphase signals, and referred to as joint frequency-phase modulation (JFPM). This modulation class includes many formats, which can be classified as efficient bandwidth-limited modulation or power-limited modulation techniques. A noncoherent receiver structure for JFPM signals is introduced, and an exact expression for the probability of a bit error over AWGN channels is obtained. The results show that noncoherent JFPM perform better than M-ary DPSK and/or noncoherent M-ary FSK systems. The power spectral density and the spectral efficiency of JFPM are analyzed. Fractional out-of-band power containment bandwidths are obtained numerically for different JFPM formats. These analytical results show that the power spectral density of JFPM does not contain a discrete component and the same bandwidth efficiency can be obtained by using different JFPM formats. Overall, JFPM can be classified as a bandwidth- and power-efficient modulation technique